Adam,
Looks like the problem still exists (at least for IE 6/7). I just downloaded the latest Cute Editor version available (CuteEditor 6.0 Build 2007-05-21), but get the same jump to the top of the page. I can see that my JScript code restores the position, but then the page jumps to the top. It seems that control keeps loading after the page has rendered -- the control generates an XMLHttpRequest in "LoadXMLAsync" function in "Loader.js" and after the response comes back, the page scrolls to the top.
You can test the issue with the code I provided above. The code can be saved as an "aspx" page (no code-behind required).
Yevgeniy